Question 165477
<font size = 7 color = "red"><b>Edwin's solution:</font></b>

What is the smallest positive integer n for which 324 is a factor of 6^n?

      (A) 2  (B) 3  (C) 4  (D) 5  (E) 6 
<pre><font size = 4 color = "indigo"><b>
Break 324 down into primes

324 = 2*2*3*3*3*3

Since 6 = 2*3, each factor of 6 contributes one factor of 2 
and one factor of 3.

Since 324 has four factors of 3, we need four factor of 6 to
contribute them all.

So the answer is 4, choice (C)

Edwin</pre>